Formations, bihomorphisms and natural transformations

A∞-subalgebras and Natural Transformations

The setup is as follows. We consider pairs (A,B) consisting of an A∞-algebra B and a subalgebra A. We will be primarily working with the category V = H0(mod(A)) of Amodules. However, that category inherits certain additional data from the presence of B. The most important such data are a functor F : V → V , given by tensor product with the quotient bimodule (B/A)[−1], together with a natural tr...

Natural Transformations. Discrete Categories

We present well known concepts of category theory: natural transofmations and functor categories, and prove propositions related to. Because of the formalization it proved to be convenient to introduce some auxiliary notions, for instance: transformations. We mean by a transformation of a functor F to a functor G, both covariant functors from A to B, a function mapping the objects of A to the m...

Microbial Transformations of Natural Products

Natural Transformations of Organismic Structures

Organismic sets were built by Nicolas Rashevsky into a representation of biological organisms and societies on a relational basis (Rashevsky, 1954; 1960; 1966a,b; 1967a,b,c; 1968a,b,c; 1969a,b,c; 1970a,b,c; 1971a,b,c), and a wide range of biological and social phenomena were explained within this framework. Attempts to produce axioms for this theory using logical functors and categories (as wel...

Algebraic Domains of Natural Transformations

Motivated by the semantics of polymorphic programming languages and typed -calculi, by formal methods in functor category semantics, and by well-known categorical and domaintheoretical constructs, we study domains of natural transformations F : !G of functors F;G: ! C with a small category as source and a cartesian closed category of Scottdomains C as target. We put constraints on the image arr...